Details
| Original language | English |
|---|---|
| Title of host publication | Advanced Finite Element Technologies |
| Publisher | Springer International Publishing AG |
| Pages | 17-51 |
| Number of pages | 35 |
| Publication status | Published - 20 May 2016 |
Publication series
| Name | CISM International Centre for Mechanical Sciences, Courses and Lectures |
|---|---|
| Volume | 566 |
| ISSN (Print) | 0254-1971 |
| ISSN (electronic) | 2309-3706 |
Abstract
Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.
Keywords
- Deformation Gradient, Finite Element Formulation, Gauss Point, Initial Configuration, Weak Form
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Engineering(all)
- Mechanics of Materials
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Modelling and Simulation
Cite this
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Advanced Finite Element Technologies . Springer International Publishing AG, 2016. p. 17-51 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 566).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Discretization Methods for Solids Undergoing Finite Deformations
AU - Wriggers, Peter
PY - 2016/5/20
Y1 - 2016/5/20
N2 - Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.
AB - Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.
KW - Deformation Gradient
KW - Finite Element Formulation
KW - Gauss Point
KW - Initial Configuration
KW - Weak Form
UR - http://www.scopus.com/inward/record.url?scp=85043288853&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-31925-4_2
DO - 10.1007/978-3-319-31925-4_2
M3 - Contribution to book/anthology
AN - SCOPUS:85043288853
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 17
EP - 51
BT - Advanced Finite Element Technologies
PB - Springer International Publishing AG
ER -